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Finding the Fourth Proportional to 39,564.78, 59,345.10 and 9,982.87

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Solution

The fourth proportional to 39,564.78, 59,345.10 and 9,982.87 is: 14,973.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,564.78 : 59,345.10 = 9,982.87 : x
  2. Step 2: Convert to fraction form
    39,564.78/59,345.10 = 9,982.87/x
  3. Step 3: Cross multiply
    39,564.78x = 59,345.10 × 9,982.87
  4. Step 4: Simplify right side
    39,564.78x = 592,434,270.07
  5. Step 5: Solve for x
    x = 592,434,270.07/39,564.78
  6. Step 6: Final answer
    x = 14,973.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.